A cable hangs between two poles of equal height. The cable takes the shape of the function y = 5 (e=/10 + e=#/10) for r € [-10, 10]. Find the length of the cable.

Q: Find an equation of the level curve of the function h(x, y) = 3 – x2 - y? that passes through the…

A: Given that the function is      h(x,y) = 3-x2-y2 We have to find an equation of the level curve of…

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: For what value of x does the function g(x) - 2x? concave downward? А. x2 -1 x 2 0 С. x 2 -2 D. x< 2…

A: The derivative of a function gives the slope. When the slope continually increases, the function is…

Q: Find b, if the function f(t) = t?.

A: This is a Fourier analysis question. Lets solve it.

Q: Find the inflection point of the curve f(x)=2x³ – 18x²+ 30x. О а.3 O b. 3/2 С. 9 O d. None

A: We have to find out point of inflection

Q: The slope of the secant line of the square root function at x=4 and x=9 is [a], and the y-coordinate…

A:

Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to…

A: maxima minima question, if it is helpful, like and thumbs up.

Q: y = e2=²-x %3D

A: Solve the differential

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A: Given, a parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Let the…

Q: Plot the function f(1) for -10 <xs 10. %3D 1+e5.5 – 1.5x 20

A: Graph of any function can be plotted by joining the points from which the function passes. So to…

Q: find the value of the constant ( a, b, or c) that makes the function continuous.

A:

Q: The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and…

A: Given :Rx=x.pxpx=414-x5x=10

Q: Sketch the graph of the function. f(x, v) = y? + 7

A:

Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

Q: For a host - parasite relation, it was determined that when the host density (number of hosts per…

A: y = 1000 x10 + 43 x,where,y = No. of hosts that have parasite,x = No. of hosts per unit area

Q: which shows the function f(x)=7x after a vertical translation down 4 units

A:

Q: As a cold front moved through a midwestern city, the temperature dropped at the rate of 3F per hour…

A: Given: Rate of change in temperature between noon and 8 p.m. = -3∘F. At 1 p.m. the temperature was…

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: The cube root parent function y = Vx has been transformed a) 2.

A: given graph

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Put second derivative zero

Q: A company sells an inexpensive accounting program for home computers. If it can sell x programs per…

A: Revenue per week=Number of items sold per week×Cost per item

Q: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: Differentiate the function with respect to the independent variable. f(s) = s* e5 +4 e

A:

Q: For what values of  r does the function satisfy the y =  e rxequation  y"  + 6 y'   + 8y  =0?

A: Given function y=erx To find value of r which satisfy the equation y"+6y'+8y=0 Solution:…

Q: The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following…

A: (a) The function representing the marginal revenue is R'(x)=4xx2+26,000-23 (in thousands of dollars)…

Q: Find the point on the graph of the function f(x) = (x + 5)² that is closest to the point (1,3). %3D…

A: It is given that, f(x)=x+52 that is closest to the point 1,3.We have to find the point on the graph.…

Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

A:

Q: Find the points on the graph of the function f that are closest to the point (a, b) by minimizing…

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given problem:- Find the point of diminishing returns (x,y) for the function R(x), where R(x)…

Q: 2 (d) T (z) = VE + 97 -- %3D (e) h (x) = x"- æv2 %3D

A:

Q: For what x-value is the function y = |x+5| not differentiable?

A:

Q: Differentiate the function. y = In(12 + t – t31)

A: We have to find derivative

Q: Give the interval where y is decreasing y=x²e^x

A:

Q: The surface area of a hot-air balloon is given by the function S(r) 4Tr", where r is the radius of…

A: NOTE: Refresh your page if you can't see any equations. . the radius is increasing at a rate of…

Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

A:

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Also, suppose that T (x, y) = x³y² + 35 is the function that models the plate temperature in D.…

A:

Q: For the function h(t) = -t – 1, evaluate h(t) + h(2).

A: Given function h(t)=-t-1 To find h(2), take t=2

Q: Evaluate the function at the indicated values.

A: Given ht=t+1t

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: Differentiate the function.

A: Given: y=ex1-ex

Q: y? For function f (x, y) x2+1 Starting from the point (1, 2), at which direction does the above…

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 7)…

A: Consider the provided function and the point, fx=x2,  0,7 Find the points on the graph of the…

Q: The function y is discontinuous at x equals? x+2

A: Given function is: y=x-4x+2

Q: he function f(x) = 5

A: Here we have to find the interval at which function f(x)=5x-ex is increasing.